GATE AG 2016 • Q48 NAT • 2 Marks

Section 3: Farm Power

Sources of Power

Subtopic: Bio-fuels and their use in farm mechanization

Question Statement:

A gasifier uses rice husk as fuel and generates producer gas containing CO – 23%, CO2 – 4.4%, O2 – 2.6% and N2 – 70%; all expressed in mole%. Atomic mass of C, O and N are 12, 16 and 14, respectively. Average molecular weight of the producer gas in kg kgmol⁻¹ is ______

Official Answer Key:

28 to 29

Step-by-Step Solution & Explanation

Average molecular weight = Σ(mole fraction×molecular weight of each species). M(CO)=12+16=28; M(CO₂)=12+32=44; M(O₂)=32; M(N₂)=28. M_avg = 0.23×28 + 0.044×44 + 0.026×32 + 0.70×28 = 6.44+1.936+0.832+19.6 = 28.81 kg/kgmol, within the accepted band 28–29. Section 4 — Soil and Water Conservation Engineering

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